The Complex Number Puzzle

i⁵²

• i

• -i

• 1

• -1

How do you write a complex number?

• a-bi

• a+bi

• ai+b

• ai-b

What is the simplified form of (8 -3i)²?

• 73

• 16 - 6i

• 55 + 48i

• 55 - 48i

What complex number is represented by the graph?

• -3-i

• -3+i

• 1+3i

• 1-3i

Match the expression to the graph shown in the complex plane.

• -2i-3i

• (0,-5)

• -6i

• -2(3i)

Match the expression to the graph shown in the complex plane.

• (4,0)

• 4 + 4i

• -4(i²)

• 4i

What is the conjugate of -2+5i?

• -5+2i

• -2-5i

• 2+5i

• 5-2i

Simplify:  (4+2i)/(3-i)

• 1-i

• 1+i

• 10+10i

• 1+10i

The product of the following complex number in polar form √5(cos130^o + i sin130^o) ⋅ √45(cos15^o + i sin15^o) is...

• 50(cos145^o + i sin145^o)

• 15(cos145^o + i sin145^o)

• 81(cos100^o + i sin100^o)

• All Options are Correct

The distance between z=4-3i and w=-2-4i on the complex plane is...

• √35

• √35 i

• √37

• 5i